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3040121100 = 2235270914293
BaseRepresentation
bin1011010100110100…
…1001000100001100
321211212112011010210
42311031021010030
522211232333400
61221400202420
7135223413552
oct26515110414
97755464123
103040121100
111320083a85
1270a169410
13395ac1233
1420ba8bbd2
1512bd6b950
hexb534910c

3040121100 has 72 divisors (see below), whose sum is σ = 8809106320. Its totient is φ = 809498880.

The previous prime is 3040121093. The next prime is 3040121167. The reversal of 3040121100 is 11210403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205554 + ... + 219846.

Almost surely, 23040121100 is an apocalyptic number.

3040121100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404553160).

3040121100 is an abundant number, since it is smaller than the sum of its proper divisors (5768985220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3040121100 is a wasteful number, since it uses less digits than its factorization.

3040121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15019 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3040121100 is about 55137.2931870980. The cubic root of 3040121100 is about 1448.6505240962.

Adding to 3040121100 its reverse (11210403), we get a palindrome (3051331503).

The spelling of 3040121100 in words is "three billion, forty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 709 1418 2127 2836 3545 4254 7090 8508 10635 14180 14293 17725 21270 28586 35450 42540 42879 53175 57172 70900 71465 85758 106350 142930 171516 212700 214395 285860 357325 428790 714650 857580 1071975 1429300 2143950 4287900 10133737 20267474 30401211 40534948 50668685 60802422 101337370 121604844 152006055 202674740 253343425 304012110 506686850 608024220 760030275 1013373700 1520060550 3040121100